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Finding the Fourth Proportional to 208,946.80, 313,303.56 and 68,693.68

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Solution

The fourth proportional to 208,946.80, 313,303.56 and 68,693.68 is: 103,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,946.80 : 313,303.56 = 68,693.68 : x
  2. Step 2: Convert to fraction form
    208,946.80/313,303.56 = 68,693.68/x
  3. Step 3: Cross multiply
    208,946.80x = 313,303.56 × 68,693.68
  4. Step 4: Simplify right side
    208,946.80x = 21,521,974,493.50
  5. Step 5: Solve for x
    x = 21,521,974,493.50/208,946.80
  6. Step 6: Final answer
    x = 103,002.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.